now I've got it to 1.8026486875969201048629953936014631

with closest to 1 answer of:

0.9999999999999999999999997503263465181800920351371235523412918875090130628069254608685016146340307958 by the looks of it.

:rolleyes:

If you want to find the limiting value, just solve algebraically (or, for that matter, use solve()).

[QUOTE=CRGreathouse;243967]:rolleyes:

If you want to find the limiting value, just solve algebraically (or, for that matter, use solve()).[/QUOTE]

that's the high limiting exponent I'm finding right now how would I use solve ?

[QUOTE=science_man_88;243966]now I've got it to 1.8026486875969201048629953936014631

with closest to 1 answer of:

0.99999999999999999999999975<snip excessive digits> by the looks of it.[/QUOTE]:shock: Truly amazing. I just made that number up. I must be a genius at typing numbers randomly! :w00t::toot::flex::showoff:

:sm88:

[QUOTE=retina;243969]:shock: Truly amazing. I just made that number up. I must be a genius at typing numbers randomly! :w00t::toot::flex::showoff:

:sm88:[/QUOTE]

must of mis quoted the number lol.

[CODE](10:02)>for(n=1,#mersenne-1,print((mersenne[n+1]/mersenne[n])/(n*exp(-Euler)*log(1.78)*1.78^exp(-Euler)^-1.802676985070192364236291639/log(mersenne[n]))))
0.6278314343193879400011266570861233450358404854870381898972466355615955230896054428093709889780811741
0.5528273778723374597913496790476980080262340314791171244906423400659886013727794355361668713866124222
0.4535313832621029429682183518938119599837053456206636162935340713111564556297628594616085349494922052
0.5455498494206487761009186503033516504072777697706710242213303186807849693040016283250745450417362321
0.4050799014307713836828705163107088850296716817150577267847947092194201251454047338052710434488327035
0.3186831078995988518105244192073779471336389224410223411924615068234313373592501989815614854319984612
0.4144183214694355823075087290774112713198557643966975427904436036429888622252096834091240376856827533
0.5100387384474481241253389951078340714950810714461163095844147772722125120125510460410488712230512153
0.4024186961748819543401228370275124179668777137285639384027893112423369858060634753159836383725880416
0.3258626096486891232692313018532754534402299418582458820615134709770647955331199034805065522535022870
0.3044622603857871978440340311724219178077481127255691830161080022262318074175821935243174451102993515
0.9999999999999999999999999962278768534585812009422486238241359114819840803301054876132222288992428642
0.3385426107588963136984776734652464435064968458791733881695831703013568859572337114395943293002333993
0.5824229685955660712434907257539212970218734242168202099641132285093140341983908844241759823258589745
0.4960413446365699555661682160981404096414991551491957287594964127824155447350092937853292711152383897
0.3007953306080179379444070410874314037344366359931109120537832795915764932940607271487015377995027888
0.3873608934977556845868625313811233191869481911606533268265200597652803358703582062624776114719424189
0.3581834057516558931390338750087985168970729977691165898566827791617369283115785270693583139452496091
0.2761598210483672495081375783524145768285971779204348953592191737127044171433573473496754693719670714
0.5552096319958394086996086293827763104300260570903597419332413711517028677663011921842116036405522111
0.2707955572370063167689267755273516266866091619222618325425300487121766594553355736335367574242566854
0.2849652923003854276696423861350316392275559011314549807029271404260857967540372598638645848628854963
0.4352886746147908003432497074466101003316002195510478986519527173973633328867099990394066847830203183
0.2711345215082815504090609938096468780274898558458925681880938278614898958708352853602116368075758938
0.2579384110116061589094167676065351567263081202664564065241961289975491145140118143351026383020841556
0.4476025317344592071212359981423460194123457382820176488141455766936817669665463738994882667817350791
0.4639470364907654555889243792169059001091476117145820889270834668245518998139976676878902221558307731
0.3140400664712936584957219539132716659076205169778088899679298796684284404306198718844531519515015088
0.2889523667411004828447380629006258301585662154447923491576332080691412791674020197315594069023959858
0.3883780206950100593261583378560284833509776163417596475996633337903499552225744369891671800938120573
0.8380154038415163178175557048457458506662215183023190768234323822159015361654035461547146766363584387
0.2900709836639948590597102291999609214387316329591842244898159195508121239468601681026068870882613265
0.3659200617068177975269204801846481491539343799475547205433085216300976016924740638369950918203290340
0.2772991873060759830741564408140379506396506003472284719989722918743135071415523070070319826803310797
0.5196513531575771352023578778937314686208013891407417592078924606166712071203601925812551684931265513
0.2538221390563445814674882292986476477656158594062568225245371882452430373342228056977031700940179021
0.5619768645591646499521610943222827535333882379767904599064054333669492153199395096056139612098484764
0.4836195635660981519934262266143783784731246593186644421448212669880914733973344257417120939659363426
0.3962698020212401052924875800234991883491429938337654299871024276756786674616112811411193012681299510[/CODE]

as you go down in the number the answers rise we want the highest (#12 in this list) to just barely be under 1. then we can start on a exponent for a limit to stay above where they all are above 1.

-1.80267698507019236423629163499626671739315871463345 is my closest so far now :

#12 = 0.9999999999999999999999999999999999999999999999999977744902055241948890317038784593675635703070953915

[QUOTE=science_man_88;243968]that's the high limiting exponent I'm finding right now how would I use solve ?[/QUOTE]

Take the term that is closest to the limit (#12) and solve the equation that_term = 1.

Or in gp, assuming the formula for term t is in a function f(x, t),
[code]solve(x=-2,-1,f(x, 12)-1)[/code]

[QUOTE=CRGreathouse;243984]Take the term that is closest to the limit (#12) and solve the equation that_term = 1.[/QUOTE]

technically for a lower limit I'd want .99999999999.....................................

and for an upper limit equation we'd want on that brought everything above 1 just barely but I can't find that one in my current setup and I've got it as low as -((1*10^-10000000)*Euler)

I don't see how I can use solve I tried:
[CODE]solve(x=1,10,7==6*x+1)[/CODE]

and it gave me back 10 when the answer is algebraically 1.

solve() tries to find a value that makes the formula you give equal to 0. 7==6*10+1 is the same as 7==61 which is 0 (false), so it's a valid result.

What you should have done to solve the equation 7 = 6x + 1 is
[code]solve(x=0,9,6*x+1-7)[/code]


This is stated clearly in the help:
[code]> ?solve
solve(X=a,b,expr): real root of expression expr (X between a and b), where
expr(a)*expr(b)<=0.[/code]

[QUOTE=CRGreathouse;243987]solve() tries to find a value that makes the formula you give equal to 0. 7==6*10+1 is the same as 7==61 which is 0 (false), so it's a valid result.

What you should have done to solve the equation 7 = 6x + 1 is
[code]solve(x=0,9,6*x+1-7)[/code]


This is stated clearly in the help:
[code]> ?solve
solve(X=a,b,expr): real root of expression expr (X between a and b), where
expr(a)*expr(b)<=0.[/code][/QUOTE]
solve gave back this at precision set to 100:
[CODE]1.802676985070192364236291634996266717393158714633447637842856991558141656783517508496735756415741539[/CODE]